Home
Class 12
MATHS
The order and degree of the differential...

The order and degree of the differential equation `y=(dp)/(dx)x+sqrt(a^(2)p^(2)+b^(2))` where `p=(a)/(b)` (here a and b are arbitrary constants) respectively are

A

2,1

B

1,2

C

1,1

D

2,2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos
  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

The order and degree of the differential equation y=x (dy)/(dx)+(2)/((dy)/(dx)) is

The order and degree of the differential equation y = x(dy)/(dx) + (2)/((dy)/(dx)) is

Find the order and degree of the differential equation (dy/dx)^2+dy/dx-sin^2 y=0.

The order and degree of the differential equation (1+3(dy)/(dx))^(2//3)=4(d^3y)/(dx^3) are :

Find the order and degree of the differential equation (d^(2)y)/(dx^(2))=cos3x+sin3x

Find the order and degree of the differential equation ((d^2y)/(dx^2))^2+cos((dy)/(dx))=0

The degree of the differential equation [1+((dy)/(dx))^(2)]^(2)=(d^(2)y)/(dx^(2))

The degree of the differential equation (1+dy/dx)^(3) = ((d^(2)y)/dx^(2))^(2) is

Find the order and degree of the differential equation, (d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2))+ (dy)/(dx)= 0

The order and degree of the differential equation (d^(2)y)/dx^(2) + (dy/dx)^(1/4) + x^(1/5) =0 is

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The differential equation of the family of circles passing through the...

    Text Solution

    |

  2. A population grows at the rate of 10% of the population per year. How ...

    Text Solution

    |

  3. The order and degree of the differential equation y=(dp)/(dx)x+sqrt(a^...

    Text Solution

    |

  4. The solution of the differential equation 2x dy/dx-y=3 represent

    Text Solution

    |

  5. If m and n are degree and other of (1+y(1)^(2))^(2//3)=y(2), then tha...

    Text Solution

    |

  6. The differential equation of the family of lines passing through the o...

    Text Solution

    |

  7. The particular solution of (y)/(x)(dy)/(dx)=(1+y^(2))/(1+x^(2)) when x...

    Text Solution

    |

  8. The solution of the differential equation (dy)/(dx)=(x+y)^(2) is

    Text Solution

    |

  9. Let y^(') = e^(-2y) and y = 0 when x = e. Then the value of x when y =...

    Text Solution

    |

  10. The solution of the differential equation dy/dx = xe^(x-y) is

    Text Solution

    |

  11. f(x) and g(x) are two differentiable functions on [0,2] such that f^('...

    Text Solution

    |

  12. The differential equation : (dy)/(dx)=(sqrt(1-y^2))/y determines a fam...

    Text Solution

    |

  13. Tangent is drawn at any point P of a curve which passes through (1,1) ...

    Text Solution

    |

  14. The interval contained in the domain of definition of non-zero solutio...

    Text Solution

    |

  15. Let f be a real values differentiable function on R such that f(1) =1....

    Text Solution

    |

  16. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

    Text Solution

    |

  17. The differential equation of all circles which pass through origin and...

    Text Solution

    |

  18. A function y = f(x) has a second order derivative f''(x) =6(x-1). If i...

    Text Solution

    |

  19. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is :

    Text Solution

    |

  20. The differential equation whose solution is Ax^2+By^2=1, where A and B...

    Text Solution

    |